Fourier growth of degree $2$ polynomials
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866918356900118528 |
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| author | Becker, Lars Slote, Joseph Volberg, Alexander Zhang, Haonan |
| author_facet | Becker, Lars Slote, Joseph Volberg, Alexander Zhang, Haonan |
| contents | We prove bounds for the absolute sum of all level-$k$ Fourier coefficients for $(-1)^{p(x)}$, where polynomial $p:\mathbf{F}_2^n \to \mathbf{F}_2$ is of degree $1$ or degree $2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10842 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fourier growth of degree $2$ polynomials Becker, Lars Slote, Joseph Volberg, Alexander Zhang, Haonan Number Theory Analysis of PDEs Combinatorics Functional Analysis 68Q17, 46B10, 60E15 We prove bounds for the absolute sum of all level-$k$ Fourier coefficients for $(-1)^{p(x)}$, where polynomial $p:\mathbf{F}_2^n \to \mathbf{F}_2$ is of degree $1$ or degree $2$. |
| title | Fourier growth of degree $2$ polynomials |
| topic | Number Theory Analysis of PDEs Combinatorics Functional Analysis 68Q17, 46B10, 60E15 |
| url | https://arxiv.org/abs/2412.10842 |